5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
Answer:
See Below
Step-by-step explanation:
The function is a piecewise function defined as:

a)
We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).
We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.
b)
A function is continuous at a point if we have the limit and the functional value at that point same.
Functional value at t = 8 is (we use 2nd part of equation):

We do have a value and limit also goes to this as t approaches 8.
So, function is continuous at t = 8
c)
We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:

The time is 4 years when the number of fishes in the pond is 250
Answer:

Step-by-step explanation:
Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

The difference in their travelled distances is

The answer is:

But if x2 was supposed to be x^2 then the answer is:
Acceleration is:
a=g
Velocity is the integral of the above
v=gt+v0
And position is the integral of the above
h=gt^2/2+v0t+h0
You are given that v0=15ft/s and h0=0ft and let g≈-32 so
h(t)=-16t^2+15t
It will hit the ground when h(t)=0 so:
0=-16t^2+15t which is equal to
16t^2-15t=0 factor
t(16t-15)=0, since we are looking for the time other than zero...
t=15/16 of a second :)
So they obviously just rounded to one whole second. So C.) was the correct answer. (Although I would say they are all wrong because they didn't SAY to round the answer :P) Haha, not trying to confuse you, the answer is most likely C. because they had the correct equation.